|
Search: id:A090688
|
|
|
| A090688 |
|
First occurrence of primes in the progression kx^2-1. |
|
+0
1
|
|
| 3, 7, 2, 3, 19, 5, 251, 7, 89, 43, 11, 467, 13, 59, 67, 17, 683, 19, 83, 197, 367, 23, 103, 107, 251, 463, 29, 4463, 31, 131, 1223, 139, 11987, 37, 7643, 359, 163, 41, 13931, 43, 179, 33533, 751, 47, 199, 5099, 467, 211, 53, 1979, 223, 227, 521, 23599, 59, 8783, 61
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
It appears that the generating function kx^2-1 will produce all primes eventually with some repetitions.
|
|
PROGRAM
|
(PARI) mx2pmp(n) = { for(a=1, n, for(x=1, n, y = a*x^2-1; if(isprime(y), print1(y", "); break) ) ) }
|
|
CROSSREFS
|
Sequence in context: A093097 A059818 A023525 this_sequence A064824 A091723 A016618
Adjacent sequences: A090685 A090686 A090687 this_sequence A090689 A090690 A090691
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Cino Hilliard (hillcino368(AT)gmail.com), Dec 18 2003
|
|
|
Search completed in 0.002 seconds
|
